Question

Write an algebraic expression to represent each verbal expression.

Four times the sum of a number and 5

Short answer

The algebraic expression is$4\left(x+5\right)$.

Step-by-step solution

Step-1 – Apply the concept of Verbal and Algebraic expression and Variable

The algebraic expression is obtained from verbal expression using mathematical operators like addition$+$, subtraction $-$, multiplication $\times$, division $÷$ and many such more and variable.

In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

Step-2 – Example for the variable

In the expression $4x+1$, the unknown quantity is x. So, the variable in this expression is x. 4 and 1 are constants values.

Step-3 – Construct the Algebraic expression

Consider the provided verbal expression.

Four times the sum of a number and 5.

Let the number be x.

The mathematical operators corresponding to times ismultiplication $\times$ and to sum is addition $+$.

Express the verbal expression for sum of a number and 5 as $x+5$.

Now, this obtained expression is multiplied by 4. The algebraic expression obtained is $4\left(x+5\right)$.

Hence, the algebraic expression is $4\left(x+5\right)$.